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ORCIDDavid I. Ketcheson
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2020 – today
- 2024
[j40]Yousef Alamri
, David I. Ketcheson:
Very High-Order A-Stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods with Error Estimators. J. Sci. Comput. 100(3): 84 (2024)- [j39]Abhijit Biswas, David I. Ketcheson, Benjamin Seibold, David Shirokoff:
Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods. SIAM J. Numer. Anal. 62(1): 48-72 (2024) - [i28]David I. Ketcheson, Abhijit Biswas:
Approximation of arbitrarily high-order PDEs by first-order hyperbolic relaxation. CoRR abs/2405.16841 (2024) - [i27]Gabriel A. Barrios de León, David I. Ketcheson, Hendrik Ranocha:
Pseudo-Energy-Preserving Explicit Runge-Kutta Methods. CoRR abs/2407.15365 (2024) - 2023
- [j38]Abhijit Biswas, David I. Ketcheson:
Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems. J. Sci. Comput. 97(1): 4 (2023) - [j37]David I. Ketcheson, Hendrik Ranocha:
Computing with B-series. ACM Trans. Math. Softw. 49(2): 13:1-13:23 (2023) - [i26]Abhijit Biswas, David I. Ketcheson:
Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems. CoRR abs/2302.05235 (2023) - [i25]Thomas Izgin, David I. Ketcheson, Andreas Meister:
Order conditions for Runge-Kutta-like methods with solution-dependent coefficients. CoRR abs/2305.14297 (2023) - [i24]Damian P. San Roman Alerigi, David I. Ketcheson, Boon S. Ooi:
A high-order finite volume method for Maxwell's equations in heterogeneous and time-varying media. CoRR abs/2307.11842 (2023) - [i23]Abhijit Biswas, David I. Ketcheson:
Accurate Solution of the Nonlinear Schrödinger Equation via Conservative Multiple-Relaxation ImEx Methods. CoRR abs/2309.02324 (2023) - [i22]Abhijit Biswas, David I. Ketcheson, Steven Roberts, Benjamin Seibold, David Shirokoff:
Explicit Runge Kutta Methods that Alleviate Order Reduction. CoRR abs/2310.02817 (2023) - 2022
- [j36]Dmitri Kuzmin, Manuel Quezada de Luna, David I. Ketcheson, Johanna Grüll:
Bound-preserving Flux Limiting for High-Order Explicit Runge-Kutta Time Discretizations of Hyperbolic Conservation Laws. J. Sci. Comput. 91(1): 21 (2022) - [j35]Manuel Quezada de Luna, David I. Ketcheson:
Maximum Principle Preserving Space and Time Flux Limiting for Diagonally Implicit Runge-Kutta Discretizations of Scalar Convection-diffusion Equations. J. Sci. Comput. 92(3): 102 (2022) - [i21]Abhijit Biswas, David I. Ketcheson, Benjamin Seibold, David Shirokoff:
Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods. CoRR abs/2204.03603 (2022) - [i20]Abhijit Biswas, David I. Ketcheson, Benjamin Seibold, David Shirokoff:
Design of DIRK Schemes with High Weak Stage Order. CoRR abs/2204.11264 (2022) - [i19]Carlos Muñoz Moncayo, Manuel Quezada de Luna, David I. Ketcheson:
A Comparative Study of Iterative Riemann Solvers for the Shallow Water and Euler Equations. CoRR abs/2209.12235 (2022) - [i18]Yousef Alamri, David I. Ketcheson:
Very High-Order A-stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods. CoRR abs/2211.14574 (2022) - 2021
- [j34]Dimitrios Mitsotakis, Hendrik Ranocha, David I. Ketcheson, Endre Süli:
A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations. SIAM J. Sci. Comput. 43(2): B508-B537 (2021) - [i17]Hendrik Ranocha, Manuel Quezada de Luna, David I. Ketcheson:
On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations. CoRR abs/2102.07376 (2021) - [i16]David I. Ketcheson, Manuel Quezada de Luna:
Numerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump. CoRR abs/2103.09664 (2021) - [i15]Hendrik Ranocha, Lisandro Dalcín, Matteo Parsani, David I. Ketcheson:
Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics. CoRR abs/2104.06836 (2021) - [i14]Yiannis Hadjimichael, David I. Ketcheson, Lajos Lóczi:
Positivity preservation of implicit discretizations of the advection equation. CoRR abs/2105.07403 (2021) - [i13]Manuel Quezada de Luna, David I. Ketcheson:
Maximum principle preserving space and time flux limiting for Diagonally Implicit Runge-Kutta discretizations of scalar convection-diffusion equations. CoRR abs/2109.08272 (2021) - [i12]David I. Ketcheson, Hendrik Ranocha:
Computing with B-series. CoRR abs/2111.11680 (2021) - 2020
- [j33]David I. Ketcheson, Matteo Parsani, Zachary Grant, Aron J. Ahmadia, Hendrik Ranocha:
RK-Opt: A package for the design of numerical ODE solvers. J. Open Source Softw. 5(54): 2514 (2020) - [j32]David I. Ketcheson, Hendrik Ranocha, Matteo Parsani, Umair bin Waheed, Yiannis Hadjimichael:
NodePy: A package for the analysis of numerical ODE solvers. J. Open Source Softw. 5(55): 2515 (2020) - [j31]Hendrik Ranocha, David I. Ketcheson:
Relaxation Runge-Kutta Methods for Hamiltonian Problems. J. Sci. Comput. 84(1): 17 (2020) - [j30]Hendrik Ranocha, Lajos Lóczi, David I. Ketcheson:
General relaxation methods for initial-value problems with application to multistep schemes. Numerische Mathematik 146(4): 875-906 (2020) - [j29]Hendrik Ranocha, David I. Ketcheson:
Energy Stability of Explicit Runge-Kutta Methods for Nonautonomous or Nonlinear Problems. SIAM J. Numer. Anal. 58(6): 3382-3405 (2020) - [j28]Hendrik Ranocha, Mohammed Sayyari, Lisandro Dalcín, Matteo Parsani, David I. Ketcheson:
Relaxation Runge-Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations. SIAM J. Sci. Comput. 42(2): A612-A638 (2020) - [i11]Hendrik Ranocha, David I. Ketcheson:
Relaxation Runge-Kutta Methods for Hamiltonian Problems. CoRR abs/2001.04826 (2020) - [i10]Hendrik Ranocha, Lajos Lóczi, David I. Ketcheson:
General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes. CoRR abs/2003.03012 (2020) - [i9]Stephan Nüßlein, Hendrik Ranocha, David I. Ketcheson:
Positivity-Preserving Adaptive Runge-Kutta Methods. CoRR abs/2005.06268 (2020) - [i8]Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson:
A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations. CoRR abs/2006.14802 (2020) - [i7]Dmitri Kuzmin, Manuel Quezada de Luna, David I. Ketcheson, Johanna Grüll:
Bound-preserving convex limiting for high-order Runge-Kutta time discretizations of hyperbolic conservation laws. CoRR abs/2009.01133 (2020) - [i6]Dimitrios Mitsotakis, Hendrik Ranocha, David I. Ketcheson, Endre Süli:
A conservative fully-discrete numerical method for the regularised shallow water wave equations. CoRR abs/2009.09641 (2020)
2010 – 2019
- 2019
- [j27]Jithin D. George, David I. Ketcheson, Randall J. LeVeque:
A Path-Integral Method for Solution of the Wave Equation with Continuously Varying Coefficients. SIAM J. Appl. Math. 79(6): 2615-2638 (2019) - [j26]David I. Ketcheson:
Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Product Norms. SIAM J. Numer. Anal. 57(6): 2850-2870 (2019) - [i5]Hendrik Ranocha, David I. Ketcheson:
Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems. CoRR abs/1909.13215 (2019) - 2018
- [j25]Imre Fekete, David I. Ketcheson, Lajos Lóczi:
Positivity for Convective Semi-discretizations. J. Sci. Comput. 74(1): 244-266 (2018) - [j24]Inmaculada Higueras, David I. Ketcheson, Tihamér A. Kocsis:
Optimal Monotonicity-Preserving Perturbations of a Given Runge-Kutta Method. J. Sci. Comput. 76(3): 1337-1369 (2018) - [j23]Yiannis Hadjimichael, David I. Ketcheson:
Strong-stability-preserving additive linear multistep methods. Math. Comput. 87(313): 2295-2320 (2018) - [i4]H. Gorune Ohannessian, George Turkiyyah, Aron J. Ahmadia, David I. Ketcheson:
CUDACLAW: A high-performance programmable GPU framework for the solution of hyperbolic PDEs. CoRR abs/1805.08846 (2018) - 2017
- [j22]David I. Ketcheson, Lajos Lóczi, Aliya Jangabylova, Adil Kusmanov:
Dense Output for Strong Stability Preserving Runge-Kutta Methods. J. Sci. Comput. 71(3): 944-958 (2017) - [j21]Christopher Bresten, Sigal Gottlieb, Zachary Grant, Daniel Higgs, David I. Ketcheson, Adrián Németh:
Explicit strong stability preserving multistep Runge-Kutta methods. Math. Comput. 86(304): 747-769 (2017) - 2016
- [j20]Kyle T. Mandli, Aron J. Ahmadia, Marsha J. Berger, Donna A. Calhoun, David L. George, Yiannis Hadjimichael, David I. Ketcheson, Grady I. Lemoine, Randall J. LeVeque:
Clawpack: building an open source ecosystem for solving hyperbolic PDEs. PeerJ Comput. Sci. 2: e68 (2016) - [j19]Yiannis Hadjimichael, David I. Ketcheson, Lajos Lóczi, Adrián Németh:
Strong Stability Preserving Explicit Linear Multistep Methods with Variable Step Size. SIAM J. Numer. Anal. 54(5): 2799-2832 (2016) - [i3]Kyle T. Mandli, Aron J. Ahmadia, Marsha J. Berger, Donna A. Calhoun, David L. George, Yiannis Hadjimichael, David I. Ketcheson, Grady I. Lemoine, Randall J. LeVeque:
The Clawpack 5.x software. PeerJ Prepr. 4: e1829 (2016) - 2015
- [j18]Willem Hundsdorfer, David I. Ketcheson, Igor Savostianov:
Error Analysis of Explicit Partitioned Runge-Kutta Schemes for Conservation Laws. J. Sci. Comput. 63(3): 633-653 (2015) - [j17]David I. Ketcheson, Manuel Quezada de Luna:
Diffractons: Solitary Waves Created by Diffraction in Periodic Media. Multiscale Model. Simul. 13(1): 440-458 (2015) - 2014
- [j16]Manuel Quezada de Luna, David I. Ketcheson:
Numerical Simulation of Cylindrical Solitary Waves in Periodic Media. J. Sci. Comput. 58(3): 672-689 (2014) - [j15]Ethan J. Kubatko, Benjamin A. Yeager, David I. Ketcheson:
Optimal Strong-Stability-Preserving Runge-Kutta Time Discretizations for Discontinuous Galerkin Methods. J. Sci. Comput. 60(2): 313-344 (2014) - [j14]Lajos Lóczi, David I. Ketcheson:
Rational functions with maximal radius of absolute monotonicity. LMS J. Comput. Math. 17(1): 159-205 (2014) - [j13]Manuel Quezada de Luna, David I. Ketcheson:
Two-Dimensional Wave Propagation in Layered Periodic Media. SIAM J. Appl. Math. 74(6): 1852-1869 (2014) - [j12]David I. Ketcheson, Lajos Lóczi, Matteo Parsani:
Internal Error Propagation in Explicit Runge-Kutta Methods. SIAM J. Numer. Anal. 52(5): 2227-2249 (2014) - [c3]David I. Ketcheson:
Teaching numerical methods with IPython notebooks and inquiry-based learning. SciPy 2014: 19-24 - 2013
- [j11]Yiannis Hadjimichael, Colin B. Macdonald, David I. Ketcheson, James H. Verner:
Strong Stability Preserving Explicit Runge-Kutta Methods of Maximal Effective Order. SIAM J. Numer. Anal. 51(4): 2149-2165 (2013) - [j10]David I. Ketcheson, Colin B. Macdonald, Steven J. Ruuth:
Spatially Partitioned Embedded Runge-Kutta Methods. SIAM J. Numer. Anal. 51(5): 2887-2910 (2013) - [j9]David I. Ketcheson, Matteo Parsani, Randall J. LeVeque:
High-Order Wave Propagation Algorithms for Hyperbolic Systems. SIAM J. Sci. Comput. 35(1) (2013) - [j8]Matteo Parsani, David I. Ketcheson, W. Deconinck:
Optimized Explicit Runge-Kutta Schemes for the Spectral Difference Method Applied to Wave Propagation Problems. SIAM J. Sci. Comput. 35(2) (2013) - 2012
- [j7]David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal Alghamdi, Manuel Quezada de Luna, Matteo Parsani, Matthew G. Knepley, Matthew Emmett:
PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems. SIAM J. Sci. Comput. 34(4) (2012) - [i2]Matteo Parsani, David I. Ketcheson, W. Deconinck:
Optimized explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems. CoRR abs/1207.5830 (2012) - 2011
- [j6]David I. Ketcheson:
Step Sizes for Strong Stability Preservation with Downwind-Biased Operators. SIAM J. Numer. Anal. 49(4): 1649-1660 (2011) - [j5]David I. Ketcheson, Sigal Gottlieb, Colin B. Macdonald:
Strong Stability Preserving Two-step Runge-Kutta Methods. SIAM J. Numer. Anal. 49(6): 2618-2639 (2011) - [c2]Kyle T. Mandli, Amal Alghamdi, Aron J. Ahmadia, David I. Ketcheson, William Scullin:
Using Python to Construct a Scalable Parallel Nonlinear Wave Solver. SciPy 2011: 70-75 - [c1]Amal Alghamdi, Aron J. Ahmadia, David I. Ketcheson, Matthew G. Knepley, Kyle T. Mandli, Lisandro Dalcín:
PetClaw: a scalable parallel nonlinear wave propagation solver for Python. SpringSim (HPC) 2011: 96-103 - [i1]David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal Alghamdi, Manuel Quezada de Luna, Matteo Parsani, Matthew G. Knepley, Matthew Emmett:
Accessible, Extensible, Scalable Tools for Wave Propagation Problems. CoRR abs/1111.6583 (2011) - 2010
- [j4]David I. Ketcheson:
Runge-Kutta methods with minimum storage implementations. J. Comput. Phys. 229(5): 1763-1773 (2010)
2000 – 2009
- 2009
- [j3]Sigal Gottlieb, David I. Ketcheson, Chi-Wang Shu:
High Order Strong Stability Preserving Time Discretizations. J. Sci. Comput. 38(3): 251-289 (2009) - [j2]David I. Ketcheson:
Computation of optimal monotonicity preserving general linear methods. Math. Comput. 78(267): 1497-1513 (2009) - 2008
- [j1]David I. Ketcheson:
Highly Efficient Strong Stability-Preserving Runge-Kutta Methods with Low-Storage Implementations. SIAM J. Sci. Comput. 30(4): 2113-2136 (2008)
Coauthor Index
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